Question

A continuous random variable is uniformly distributed between 150 and 250.

Answer 1

Answer:

0.2,0.2,0.6

Step-by-step explanation:

Given that a continuous random variable is uniformly distributed between 150 and 250.

We know that a uniform distribution between (a,b) has pdf as

$\frac{1}{b-a } \\=\frac{1}{100} ,150\leq x\leq 250$

a) the probability a randomly selected value will be greater than 230

=$\frac{250-230}{250-150} \\=0.20$

b)  the probability a randomly selected value will be less than 170

=$\frac{170-150}{250-150}\\=0.20$

c)  the probability a randomly selected value will be between 170 and 230​

=$\frac{230-170}{250-150}\\=0.60$